A study on vibration characteristics of a composite double-layer conical shell and annular plate coupling structure

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Journal of Vibration and Shock ›› 2023, Vol. 42 ›› Issue (12) : 317-325.

SHI Dongyan1, ZHANG Ying1,2

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Abstract

In this paper, the mathematical model of the vibration characteristics of the coupled structure of composite double-layer conical shell and annular plate under different boundary conditions is established by the spectral geometry method, and the displacement tolerance function is set by the improved Fourier series. The virtual boundary spring technique is used to simulate various boundary conditions by setting three sets of linear springs and two sets of torsional springs. The Hamiltonian principle is used to derive the characteristic equations of the vibration system of the cone-ring coupled structure by combining the continuity conditions at the connection of the coupled structure, and then the natural frequency and vibration response of the coupled structure are obtained. The correctness of the method in this paper is verified by comparing with the results obtained by the finite element method. Meanwhile, a relevant parametric study is carried out to analyze the influence of varied parameters on the vibration response of the coupled structure of composite double-layer conical shell and ring plate.

Key words

coupled structure / spectral geometry method / composite laminated material / inherent properties / vibration response.

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SHI Dongyan1, ZHANG Ying1,2. A study on vibration characteristics of a composite double-layer conical shell and annular plate coupling structure[J]. Journal of Vibration and Shock, 2023, 42(12): 317-325

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